Tahoma has just started a new company that publishes e-books. They expect to earn money continuously at a rate of S(t) = 1000t, where t is the number of years since their business started. To handle their new business, Tahoma opens a new bank account that earns interest at an annual rate of 2% compounded continuously and places all their earnings into this account. (a) How much money will Tahoma have in their account after five years? Show your reasoning.